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Global Wave-front Sets of Intersection and Union Type
Università degli Studi di Torino, Italy .
Linnaeus University, Faculty of Technology, Department of Mathematics. (Matematisk modellering)
Linnaeus University, Faculty of Technology, Department of Mathematics. (Matematisk modellering, Center för avancerade studier, ICMM)ORCID iD: 0000-0003-1921-8168
2014 (English)In: Fourier Analysis: Pseudo-differential Operators, Time-Frequency Analysis and Partial Differential Equations / [ed] Michael Ruzhansky, Ville Turunen, Heidelberg, New York, Dordrecht, London: Springer, 2014, 91-106 p.Chapter in book (Refereed)
Abstract [en]

We show that a temperate distribution belongs to an ordered intersection or union of admissible Banach or Fréchet spaces if and only if the corresponding global wave-front set of union or intersection type is empty. We also discuss the situation where intersections and unions of sequences of spaces with two indices are involved. A main situation where the present theory applies is given by sequences of weighted, general modulation spaces.

Place, publisher, year, edition, pages
Heidelberg, New York, Dordrecht, London: Springer, 2014. 91-106 p.
Series
Trends in Mathematics
Keyword [en]
Wave-front, Fourier, Banach space, modulation space, micro-local, pseudo-differential
National Category
Mathematical Analysis
Research subject
Mathematics, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-52520DOI: 10.1007/978-3-319-02550-6_5Scopus ID: 2-s2.0-84959093759ISBN: 978-3-319-02549-0 (print)ISBN: 978-3-319-02550-6 (print)OAI: oai:DiVA.org:lnu-52520DiVA: diva2:928941
Note

Ingår i matematisk modellering och ICMM

Available from: 2016-05-17 Created: 2016-05-17 Last updated: 2017-01-11Bibliographically approved

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CiteExportLink to record
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Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
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Language
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  • en-US
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  • nn-NB
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  • Other locale
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Output format
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